Kirkwood Township is one of the sixteen townships of Belmont County, Ohio, United States. The 2020 census found 412 people in the township.

Belmont County is a county in the U.S. state of Ohio. As of the 2020 United States census, the population was 66,497. Its county seat is St. Clairsville, while its largest city is Martins Ferry. The county was created on September 7, 1801, and organized on November 7, 1801. It takes its name from the French for "beautiful mountain".